Information on Result #1312161

Linear OA(863, 1572, F8, 19) (dual of [1572, 1509, 20]-code), using 1508 step VarÅ¡amov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 19 times 0, 1, 22 times 0, 1, 25 times 0, 1, 28 times 0, 1, 32 times 0, 1, 36 times 0, 1, 41 times 0, 1, 46 times 0, 1, 51 times 0, 1, 58 times 0, 1, 66 times 0, 1, 74 times 0, 1, 83 times 0, 1, 94 times 0, 1, 105 times 0, 1, 119 times 0, 1, 133 times 0, 1, 150 times 0, 1, 169 times 0) based on linear OA(819, 20, F8, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,8)), using

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(863, 1572, F8, 2, 19) (dual of [(1572, 2), 3081, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(863, 1572, F8, 3, 19) (dual of [(1572, 3), 4653, 20]-NRT-code) [i]
3Digital (44, 63, 1572)-net over F8 [i]
4Linear OOA(863, 786, F8, 2, 19) (dual of [(786, 2), 1509, 20]-NRT-code) [i]OOA Folding